Text: Calculus: Special Edition: Chapters 1-5 (6th edition) by Smith, Strauss, and Toda, published by Kendall Hunt, 2014; ISBN: 978-1-4652-2923-6. There is also an electronic version of this text available directly from Kendall Hunt; ISBN: 978-1-4652-3721-7. An optional solution manual is also available; ISBN 978-1-4652-4165-8.

Course purpose. This course is intended to provide an introduction to calculus for students in the biological sciences, business, economics, and pharmacy. Math 136 and Math 138 are possible continuations of this course. There is another calculus sequence, Math 151, 152, and 251, intended for students in mathematical and physical sciences, engineering, and computer science. Taking Math 152 after Math 135 is permitted but is quite difficult. Math 136 and Math 138 do not satisfy the prerequisite for Math 251. Students for whom taking either Math 152 or Math 251 is a serious possibility are strongly encouraged to start calculus with Math 151, not Math 135.

Course topics: The course will cover the bulk of the material in Chapters 1-5 of the text. The planned content of each lecture is given in this lecture-by-lecture description of the course.

The term grade will be based on the results of the examinations, on the scores on quizzes in recitation, and on the performance on the WebAssign assignments. Here is more information about the individual components of the grade:

Exams: There will be two midterm exams and a cumulative final exam. The midterm exams will count 100 points each and the final will count 250 points. Exams will be closed book, and no formula sheets will be permitted or supplied. The problems on the exams will often be similar to problems in the list of homework problems. The lecture numbers listed for the midterm exams in the lecture schedule are tentative. The actual dates of the midterm exams will be determined by each lecturer. Midterm exams will take place at the regular class-meeting time. Each midterm exam will be designed to be a 70-minute exam during the 80-minute class period. Students are required to arrive at the start of the 80-minute class period for each midterm exam and to bring their Rutgers photo ID card for checking by the instructor. The midterm exams are written by the lecturers and different sections will have different exams. The final exam is written by the course coordinator and is the same for all the students in Math 135. Calculators are not permitted on any exams or quizzes.

Recitation quizzes: Homework problems are assigned for each section of the book covered in the syllabus. Students are expected to work on the problems for a particular lecture prior to the lecture and the recitation class devoted to that material. Homework will not be collected, but (see above) many exam problems will be similar to homework problems. Students are encouraged to ask questions in recitation about problems with which they had difficulty. At the end of the recitation class there will typically be a short quiz consisting of problems similar to homework problems. Together the quizzes will count 75 points toward the term grade.

WebAssign: Students are required to use WebAssign to work on selected problems and to submit answers until they get the problem right. Each student gets their own version of the problems to solve. WebAssign assignments must be done online. The WebAssign grade counts 50 points toward the term grade and is determined by how many problems the student eventually gets right, not the number of tries needed to get the correct answer. WebAssign is a valuable learning tool.

In summary, here are the components of the term grade with their maximum possible points:

Component

Points

Hour Exams

200

Final Exam

250

Recitation Quizzes

75

WebAssign Problems

50

Attendance

5

Total

580

Learning goals: The successful student should understand the fundamentals of differential and integral calculus and should be able to solve problems similar to those in the suggested homework, WebAssign, and the worked examples from the text.

Missing Exams: If a student must miss an exam, the student must notify the instructor by email before the exam. In general, an excuse from a doctor or a certification that the student is participating in a Rutgers-approved activity is required. Instructors should also make accommodations if exams conflict with religious holidays. In any case, the student must follow their instructor's policy regarding credit for midterm exams that are missed because of a valid excuse.

Grading standards: The meanings of the grades in Math 135 are related to the probable success of the student in Math 136. Grades of A or B indicate that the student is well-prepared for Math 136. A grade of C indicates that the student can probably succeed in Math 136, but that they will have to work harder in Math 136 than they did in Math 135. A grade of D suggests that although the student is allowed to take Math 136, the chances of success are quite small. In any case the student should review the material from Math 135 before proceeding to Math 136.